Unequal binary configurations of interacting Kerr black holes

Understand

Stationary axisymmetric binary configurations of unequal Kerr sources with a massless strut among them are developed in a physical representation.

• In order to describe interacting black holes, the axis conditions in the most general case are solved analytically deriving the corresponding $5$-parametric asymptotically flat exact solution.
• In addition, we obtain concise formulas for the black hole horizons, the interaction force, as well as the thermodynamical characteristics of each source in terms of physical Komar parameters: mass $M_{i}$, angular momentum $J_{i}$, and coordinate distance $R$, where such parameters are contained inside of the coefficients of a cubic equation which can be interpreted as a dynamical law for interacting black holes with struts.
• Some limits are obtained and discussed.